Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals
Figueras, Jordi-Lluís (Uppsala University. Department of Mathematics)
Tucker, Warwick (Uppsala University. Department of Mathematics)
Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
Date: |
2013 |
Abstract: |
We develop techniques for the verification of the Chebyshev property of Abelian integrals. These techniques are a combination of theoretical results, analysis of asymptotic behavior of Wronskians, and rigorous computations based on interval arithmetic. We apply this approach to tackle a conjecture formulated by Dumortier and Roussarie in [Birth of canard cycles, Discrete Contin. Dyn. Syst. 2 (2009), 723-781], which we are able to prove for q < 2. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió acceptada per publicar |
Published in: |
Journal of differential equations, Vol. 254 (2013) , p. 2647-3663, ISSN 1090-2732 |
DOI: 10.1016/j.jde.2013.01.036
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Record created 2016-05-06, last modified 2023-10-01